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Finding the Fourth Proportional to 5,964.16, 8,230.40 and 3,311.68

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Solution

The fourth proportional to 5,964.16, 8,230.40 and 3,311.68 is: 4,570.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,964.16 : 8,230.40 = 3,311.68 : x
  2. Step 2: Convert to fraction form
    5,964.16/8,230.40 = 3,311.68/x
  3. Step 3: Cross multiply
    5,964.16x = 8,230.40 × 3,311.68
  4. Step 4: Simplify right side
    5,964.16x = 27,256,451.07
  5. Step 5: Solve for x
    x = 27,256,451.07/5,964.16
  6. Step 6: Final answer
    x = 4,570.04

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.